260528268 has 288 divisors, whose sum is σ = 874040832. Its totient is φ = 58291200.

The previous prime is 260528263. The next prime is 260528269. The reversal of 260528268 is 862825062.

260528268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260528268³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (260528263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6354328 + ... + 6354368.

It is an arithmetic number, because the mean of its divisors is an integer number (3034864).

Almost surely, 2^260528268 is an apocalyptic number.

260528268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260528268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437020416).

260528268 is an abundant number, since it is smaller than the sum of its proper divisors (613512564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260528268 is a wasteful number, since it uses less digits than its factorization.

260528268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 260528268 is about 16140.8880796566. Note that the first 3 decimals coincide. The cubic root of 260528268 is about 638.6824031980.

The spelling of 260528268 in words is "two hundred sixty million, five hundred twenty-eight thousand, two hundred sixty-eight".